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Laboratory astrophysics using high power short pulse lasers. Karl Krushelnick Center for Ultra-fast Optical Science, University of Michigan, Ann Arbor. High power lasers Ultra-high magnetic fields from short pulse interactions Magnetic fields from long-pulse (ns) interactions
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Laboratory astrophysics using high power short pulse lasers Karl Krushelnick Center for Ultra-fast Optical Science, University of Michigan, Ann Arbor
High power lasers Ultra-high magnetic fields from short pulse interactions Magnetic fields from long-pulse (ns) interactions driven magnetic reconnection Relevance to astrophysics Outline
High intensity lasers • Recent developments in short pulse (sub-picosecond) laser technology have enabled intensities greater than 1020 W/cm2 and Petawatt (1015 Watt) lasers • Can produce plasmas with relativistic electron temperatures – leading to fundamentally new physics • At high intensities laser energy is converted to to very energetic electrons which can subsequently produce x-rays and energetic ions • Need > 10 Petawatt lasers to get relativistic ions (relativistic shocks)
History of laser intensity (from G. Mourou, Physics Today)
24 10 23 10 22 10 21 10 20 10 19 10 18 10 1996 1998 2000 2002 2004 2006 2008 2010 2012 High power laser systems Michigan HERCULES Vulcan 10 PW Astra- Gemini 1 PW Michigan 40 TW (UK) (UK) (USA) Texas PW PALS SG II (USA) Titan, LLNL (Czech Republic) (China) NOVA PW (USA) A (USA) PHELIX Vulcan 1 PW ORION, AWE (Germany) (UK) LULI-2000 (UK) Vulcan 100 TW Z-Beamlet (France) (UK) (USA) LULI 100 TW Omega- EP Firex II (France) (USA) LIL-PW Gekko 1 PW (Japan) (France) (Japan) Firex I (Japan) B
Short pulse laser plasma interactions (solid targets) Solid target laser ionization B-field high energy B-field protons absorption ablation energy fast particle transport generation B-field & trajectories radiation
Mechanisms of magnetic field generation in intense laser plasma interactions Critical density surface 1.Non parallel temperature and density gradients. 2. Current due to fast electrons generated during the interaction (Weibel instability) 3. DC currents generated by the spatial and temporal variation of the ponderomotive force of the incident laser pulse Bdc ~ Blaser* * R.N.Sudan, Phys. Rev. Lett., 70, 3075 (1993) r z B Laser n T
Mechanisms of magnetic field generation in high power laser plasma interactions
Laser p-polarised jf ablated plasma B n target E || B (s-polarised O-wave) nwo E B (p-polarised X-wave) nwo Experimental schematic
B E k B E k a b EM wave propagation in magnetized plasma • Ordinary Wave (O) • Extraordinary Wave (X) • Ellipticity
X-Wave cutoffs nc Region of harmonic generation nc o=1µm 2o 3o 4o 5o 6o 7o 8o 9o
VULCAN laser system Vulcan CPA produces 100 J pulses in 1 psec duration pulses at a wavelength of 1053 nm. This allows intensities of up to 1020 W/cm2 to be reached. Also 6 nanosecond beams (~ 200 J per beam).
Observation of cutoffs (Tatarakis et al.Nature, 415, 280 (2002)) Indicates fields up to ~ 400 MG
5 4 3 2 1 0 250 300 350 400 450 500 550 Harmonics of the laser frequency are emitted at very high orders (> 1000th) ) th th -6 37 30 nd 22 Conversion Efficiency (10 Wavelength (Å) I. Watts et al., Phys. Rev. Lett. 88, 155001 (2002)
p-pol Laser beam s-pol
Harmonic depolarization follows 3 scaling b/a is the induced ellipticity • this suggests that fields in the higher density regions of plasma • are up to 0.7 ± 0.1 Gigagauss • New facilities may generate fields approaching 10 GigaGauss • < 1
Neutron star physics in the laboratory ? Proposed experiment (R. Klein - Berkeley)
Neutron star physics in the laboratory ? • Difficulties with such experiments: • - duration of magnetic field is < 10 psec • extent of magnetic field is small (especially “depth”) • need radiation source as well (high energy lasers • or z-pinch) • Other possible experiments: • atomic physics of plasmas in very high fields • “picosecond” spatially resolved absorption spectroscopy (inner shell transitions) • may be relevant for astrophysics
consider the plasma created by two laser beams focused in close proximity to each other the role of the magnetic field on the plasma dynamics and heating self-organization of the magnetic field topology Dual-beam laser-solid interaction geometryfor studying reconnection
Long-pulse (ns) solid target interactionsMagnetic field generation: single beam • consider Faraday’s Law: and Ohm’s Law, giving, • magnetic field source term: • limitations to growth of magnetic fields Raven, et al PRL 41, 8 (1978) Craxton, et al PRL 35, 20 (1975) Haines, PRL 35, 20 (1975) Haines, PRL 47, 13 (1981) Haines, PRL 78, 2 (1997)
Long-pulse (ns) solid target interactionsMagnetic field generation: dual beam geometry
create the dual beam solid target interaction geometry consider focal spot separation consider target-Z effects (Al, Au) observe the generated plasma dynamics characterize the plasma parameter evolution evidence for a driven magnetic reconnection? Experimental objectives
Experiment(P.Nilson et al., PRL Dec 2006) beam 5 1ns square pulse 200J, , 1015 Wcm-2 transverse probe beam 10ps, 100’s mJ, 263nm,10mm proton generation target washer thickness: 1mm outer :5mm inner : 2mm Thomson scattering beam 1ns, 10’s J, 263nm x-ray pinhole cameras x2 CPA beam 1ps, , 100J 1019 Wcm-2 10m f/spot RCF passive film detector stack target foil: Au 20m thick beam 7 1ns square pulse 200J, , 1015 Wcm-2 mesh: Au 11 x 11m, 5m thick target foils: CH, Al, Au 3 x 5mm, 25 - 100m
ExperimentVULCAN Target Area West (TAW) VULCAN TAW interaction chamber
Plasma dynamics: Al targetRear projection proton imaging (fields ~ 1 MGauss) t0 + 500ps t0 + 100ps 78m 526m 855m 625m 625m 917m 625m t0 + 800ps
Plasma dynamics: Al target 4 transverse probe beam t0 + 100ps t0 + 1.5ns t0 + 1ns t0 + 1.5ns 400m • filamentary structures • jet-like structures • highly collimated flows • ne ~ 1020 cm-3 • vperp~ 5.0 x 102 kms-1
Plasma dynamics: Au target4 transverse probe beam & X-ray imaging 400m t0 + 1ns t0 + 2.5ns • central plasma flow velocity, vperp~ 2.6 x 102 kms-1 • greater collimation in the Au plasmas compared to Al • importance of radiative cooling ref: Farley et al., Radiative Jet Experiments, PRL 83, 10 (1999)
Electron temperature: Al TargetTime-resolved collective Thomson scattering (4) • collection • optics • scattering parameter, • for an ion mass, M, ion temperature, • Ti, and specific heat ratio, i,
Electron temperature: Al TargetTime-resolved collective Thomson scattering (4) • scattering volume 1: single laser-ablated plume • estimated electron temperature, time / ns experiment wavelength / nm Theory convoluted with experimental width of Δ=0.05nm Theory 600eV
Electron temperature: Al targetTime-resolved collective Thomson scattering (4) blue-shifted ion-feature, 1(t) red-shifted ion-feature, 2(t) • scattering volume 2: interaction region • asymmetry in the wavelength shift • scattering volume: accelerated toward detector • increasing wavelength separation infers heating time / ns wavelength / nm Questions • role of Ti in the central plasma? • source of energy resulting in large Te?
Plasma heating source • Ohmic heating • Stagnation heating: • a problem for equilibration timescales between electrons and ions • Driven reconnection: • strong electron heating is a signature of reconnection • detailed microphysics and heating mechanisms are at still not well understood • current area of active research in the reconnection community • (i.e., MRX Experiment, Yamada et al, Princeton )
Plasma Heating SourceParameters • Energy considerations • Sweet-Parker Model1 1E N Parker, Journal Geophys. Res., 62, 509 (1957)
we have studied the interaction between laser-ablated plasmas in two beam long pulse (ns) interaction geometries with planar mid- and high-Z solid targets we have characterized the ablation dynamics and plasma outflows using transverse optical probing we have observed B-field null formation using rear-projection proton probing we have measured strong electron heating via Thomson scattering the plasma dynamics and estimated reconnection rates appear consistent with the driven magnetic reconnection model given by Sweet & Parker questions remain about the details of jet formation and electron/ion heating Summary
Summary of magnetic field measurements • Ultra high magnetic fields (~ 1GGauss) are produced during high intensity (> 1019W/cm2) laser plasma interactions. • We have developed techniques which have allowed field measurements using harmonic polarimetry and which suggests the existence of fields of ~ 0.7 GGauss near the critical density surface. • Difficult to study hydrodynamics in such high fields - however the effect of such high fields on atomic physics should be possible • Lower fields produced by long (nanosecond) pulses are shown to greatly affect the dynamics of the interaction (reconnection and jet formation)